Highest Common Factor of 4704, 5068 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4704, 5068 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 4704, 5068 is 28 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 4704, 5068 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 4704, 5068 is 28.
HCF(4704, 5068) = 28
HCF of 4704, 5068 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4704, 5068 is 28.
Highest Common Factor of 4704,5068 is 28
Step 1: Since 5068 > 4704, we apply the division lemma to 5068 and 4704, to get
5068 = 4704 x 1 + 364
Step 2: Since the reminder 4704 ≠ 0, we apply division lemma to 364 and 4704, to get
4704 = 364 x 12 + 336
Step 3: We consider the new divisor 364 and the new remainder 336, and apply the division lemma to get
364 = 336 x 1 + 28
We consider the new divisor 336 and the new remainder 28, and apply the division lemma to get
336 = 28 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 4704 and 5068 is 28
Notice that 28 = HCF(336,28) = HCF(364,336) = HCF(4704,364) = HCF(5068,4704) .
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Frequently Asked Questions on HCF of 4704, 5068 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 4704, 5068?
Answer: HCF of 4704, 5068 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4704, 5068 using Euclid's Algorithm?
Answer: For arbitrary numbers 4704, 5068 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.